4922: Xors on Segments
内存限制：256 MB
时间限制：2 S
题面：传统
评测方式：文本比较
上传者：
提交：1
通过：1
题目描述
F. Xors on Segments
time limit per test
10 seconds
memory limit per test
512 megabytes
input
standard input
output
standard output
You are given an array with n integers ai and m queries. Each query is described by two integers (lj,rj).
Let's define the function
. The function is defined for only u≤v.
For each query print the maximal value of the function f(ax,ay) over all lj≤x,y≤rj, ax≤ay.
Let's define the function
. The function is defined for only u≤v. For each query print the maximal value of the function f(ax,ay) over all lj≤x,y≤rj, ax≤ay.
Input
The first line contains two integers n,m (1≤n≤5·104, 1≤m≤5·103) − the size of the array and the number of the queries. The second line contains n integers ai (1≤ai≤106) − the elements of the array a.
Each of the next m lines contains two integers lj,rj (1≤lj≤rj≤n) — the parameters of the j-th query.
Output
For each query print the value aj on a separate line − the maximal value of the function f(ax,ay) over all lj≤x,y≤rj, ax≤ay.
Examples
Input
6 3 1 2 3 4 5 6 1 6 2 5 3 4
Output
7 7 7
Input
1 1 1 1 1
Output
1
Input
6 20 10 21312 2314 214 1 322 1 1 1 2 1 3 1 4 1 5 1 6 2 2 2 3 2 4 2 5 2 6 3 4 3 5 3 6 4 4 4 5 4 6 5 5 5 6 6 6
Output
10 21313 21313 21313 21313 21313 21312 21313 21313 21313 21313 2314 2315 2315 214 215 323 1 323 322
输入样例 复制
输出样例 复制